A fine-grained analysis of network performance is crucial for system design. In this paper, we focus on the meta distribution of the signal-to-interference-plus-noise-ratio (SINR) in the mmWave heterogeneous networks where the base stations (BS) in each tier are modeled as a Poisson point process (PPP). By utilizing stochastic geometry and queueing theory, we characterize the spatial and temporal randomness while the special characteristics of mmWave communications, including different path loss laws for line-of-sight and non-line-of-sight links and directional beamforming, are incorporated into the analysis. We derive the moments of the conditional successful transmission probability (STP). By taking the temporal random arrival of traffic into consideration, an equation is formulated to derive the meta distribution and the meta distribution can be obtained in a recursive manner. The numerical results reveal the impact of the key network parameters, such as the SINR threshold and the blockage parameter, on the network performance.

翻译：对网络性能进行细微分析对于系统设计至关重要。 在本文中,我们侧重于信号到干涉+噪音拉皮欧(SINR)在毫米Wave多元网络中的元分布,每级基站(BS)以 Poisson点进程(PPP)为模型。通过利用随机几何和排队理论,我们确定空间和时间随机性的特点,同时将毫米Wave通信的特性,包括视线和非视线链接和定向波束的不同路径损耗法纳入分析。我们得出有条件成功传输概率(STP)的时空。通过将交通的随机到达考虑在内,将形成一个方程式,得出元分布和元分布可以循环方式获得。数字结果显示关键网络参数(如SINR阈值和阻隔参数)对网络性能的影响。